r+5(r-7)=7

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Solution for r+5(r-7)=7 equation:


Simplifying
r + 5(r + -7) = 7

Reorder the terms:
r + 5(-7 + r) = 7
r + (-7 * 5 + r * 5) = 7
r + (-35 + 5r) = 7

Reorder the terms:
-35 + r + 5r = 7

Combine like terms: r + 5r = 6r
-35 + 6r = 7

Solving
-35 + 6r = 7

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '35' to each side of the equation.
-35 + 35 + 6r = 7 + 35

Combine like terms: -35 + 35 = 0
0 + 6r = 7 + 35
6r = 7 + 35

Combine like terms: 7 + 35 = 42
6r = 42

Divide each side by '6'.
r = 7

Simplifying
r = 7

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